An introductory course in Lebesgue spaces [electronic resource] / Rene Erlin Castillo, Humberto Rafeiro.
Castillo, Rene Erlin, author.; Rafeiro, Humberto, author.
2016
QA403
Available Online

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Title An introductory course in Lebesgue spaces [electronic resource] / Rene Erlin Castillo, Humberto Rafeiro.
Author Castillo, Rene Erlin, author.
ISBN 9783319300344 (electronic book)
3319300342 (electronic book)
9783319300320
3319300326
DOI https://doi.org/10.1007/978-3-319-30034-4
Published Switzerland : Springer, 2016.
Language English
Description 1 online resource (xii, 461 pages) : illustrations.
Item Number 10.1007/978-3-319-30034-4 doi
Call Number QA403
Dewey Decimal Classification 515.785
Summary This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 5, 2016).
Added Author Rafeiro, Humberto, author.
Series CMS books in mathematics.
Available in Other Form Print version: 3319300326
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All Resources
Convex Functions and Inequalities
Lebesgue Sequence Spaces
Lebesgue Spaces
Distribution Function and Non-Increasing Rearrangement
Weak Lebesgue Spaces
Lorentz Spaces
Non-Standard Lebesgue Spaces
Interpolation of Operators
Maximal Operator
Integral Operators
Convolution and Potentials
Appendices.

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